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Finding the Fourth Proportional to 429,208.50, 643,657.23 and 192,429.30

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Solution

The fourth proportional to 429,208.50, 643,657.23 and 192,429.30 is: 288,574.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,208.50 : 643,657.23 = 192,429.30 : x
  2. Step 2: Convert to fraction form
    429,208.50/643,657.23 = 192,429.30/x
  3. Step 3: Cross multiply
    429,208.50x = 643,657.23 × 192,429.30
  4. Step 4: Simplify right side
    429,208.50x = 123,858,510,208.84
  5. Step 5: Solve for x
    x = 123,858,510,208.84/429,208.50
  6. Step 6: Final answer
    x = 288,574.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.